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Simplifying 12.5x + -10.2 = 3(2.5x + 4.2) + -6 Reorder the terms: -10.2 + 12.5x = 3(2.5x + 4.2) + -6 Reorder the terms: -10.2 + 12.5x = 3(4.2 + 2.5x) + -6 -10.2 + 12.5x = (4.2 * 3 + 2.5x * 3) + -6 -10.2 + 12.5x = (12.6 + 7.5x) + -6 Reorder the terms: -10.2 + 12.5x = 12.6 + -6 + 7.5x Combine like terms: 12.6 + -6 = 6.6 -10.2 + 12.5x = 6.6 + 7.5x Solving -10.2 + 12.5x = 6.6 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. -10.2 + 12.5x + -7.5x = 6.6 + 7.5x + -7.5x Combine like terms: 12.5x + -7.5x = 5x -10.2 + 5x = 6.6 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 -10.2 + 5x = 6.6 + 0.0 -10.2 + 5x = 6.6 Add '10.2' to each side of the equation. -10.2 + 10.2 + 5x = 6.6 + 10.2 Combine like terms: -10.2 + 10.2 = 0.0 0.0 + 5x = 6.6 + 10.2 5x = 6.6 + 10.2 Combine like terms: 6.6 + 10.2 = 16.8 5x = 16.8 Divide each side by '5'. x = 3.36 Simplifying x = 3.36
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